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Finding the Fourth Proportional to 22,700.80, 33,978.24 and 12,144.48

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Solution

The fourth proportional to 22,700.80, 33,978.24 and 12,144.48 is: 18,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,700.80 : 33,978.24 = 12,144.48 : x
  2. Step 2: Convert to fraction form
    22,700.80/33,978.24 = 12,144.48/x
  3. Step 3: Cross multiply
    22,700.80x = 33,978.24 × 12,144.48
  4. Step 4: Simplify right side
    22,700.80x = 412,648,056.12
  5. Step 5: Solve for x
    x = 412,648,056.12/22,700.80
  6. Step 6: Final answer
    x = 18,177.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.